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Question
Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits Rs. 600 per month for 20 months. Calculate the maturity value of this account, if the bank pays interest at the rate of 10% per annum.
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Solution
Installment per month (P) = Rs. 600
Number of months (n) = 20
Rate of interest (r) = 10% p.a.
∴ `S.I = P xx (n(n + 1))/(2xx 12) xx r/100`
= `600 xx (20(20 + 1))/(2 xx 12) xx 10/100`
= `600 xx 420/24 xx 10/100`
= Rs. 1,050
The amount that Manish will get at the time of maturity
= Rs. (600 × 20) + Rs. 1,050
= Rs. 12,000 + Rs. 1,050
= Rs. 13,050
RELATED QUESTIONS
Priyanka has a recurring deposit account of Rs. 1000 per month at 10% per annum. If she gets Rs. 5550 as interest at the time of maturity, find the total time for which the account was held.
Gopal has a cumulative deposit account and deposits Rs. 900 per month for a period of 4 years he gets Rs. 52,020 at the time of maturity, find the rate of interest.
Shahrukh opened a Recurring Deposit Account in a bank and deposited Rs 800 per month for 1 1/2 years. If he received Rs 15084 at the time of maturity, Find the rate of interest per annum.
John had a S.B. Account in Bank of Baroda. His passbook had the following entries:
| Date | Particulars | Amount Withdrawn (In Rs) |
Amount Deposits (In Rs) |
Balance (In Rs) |
| Jan 1, 2000 Jan, 8 Feb 18 May 19 July 15 Oct 7 |
By Balance By cash To Cheque By Cash To self By cash |
- - 10,500 - 2,400 - |
- 6,000 - 6,300 - 3,600 |
9,600 15,600 5,100 11,400 9,000 12,600 |
On October 30, 2000 John received his transfer order and closed the account. If the amount of interest he received on closing the account on 30th, Oct 2000 is Rs. 310; calculate the rate of interest per annum.
Manu opened a savings bank account in the state bank of India on 3rd sept, 12 with Rs. 2,700. He withdrew Rs. 1,200 from the bank on 8th sept, 12 and deposited Rs. 500 on 17th sept, 12. If he did not make any further deposits or withdrawals during this month; find the amount on which he would receive interest for sept, 12.
Mr. Sen has a savings bank account with a post office.
(i) calculate the interest earned by Mr. Sen during the year 2010 at 6.5% per annum payable in December if the entries during the year in his passbook are as given below:
| Date | Particulars | Withdrawals (Rs) | Deposits (Rs) |
| 2.1.10 | By cash | 250.00 | |
| 9.1.10 | By Cheque | 825.00 | |
| 13.3.10 | To Cash | 325.00 | |
| 24.7.10 | By Cash | 1,237.00 | |
| 6.10.10 | To Cheque | 250.00 | |
| 22.12.10 | By Cheque | 958.00 |
(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of Rs. 10.
The following are the entries in the passbook of a saving account of Ananya during the year 2007. If interest is calculated at 5 % pa, find the interest earned by Ananya during the year
| Date | Particulars | Withdrawals | Deposits | Balance |
| 01.01.2007 | By B/F | 6500.00 | ||
| 05.02.2007 | By Cheque | 7500.00 | 14000.00 | |
| 09.02.2007 | To Cash | 1500.00 | 12500.00 | |
| 06.06.2007 | By Cash | 1725.00 | 14225.00 | |
| 08.09.2007 | By Cheque | 375.00 | 14600.00 | |
| 06.11.2007 | By Cash | 6000.00 | 20600.00 | |
| 10.12.2007 | To Cheque | 2500.00 | 18100.00 |
A page from the passbook of Mrs. Rama Bhalla is given below:
Calculate the interest due to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5% per annum.
| Date Year 2004 |
Particulars | Amount (₹) Withdrawals |
Amount (₹)Deposits |
Balance (₹) |
| January 1 | B/F | - | - | 2,000.00 |
| January 9 | By cash | - | 200.00 | 2,200.00 |
| February 10 | To cheque | 500.00 | - | 1,700.00 |
| February 24 | By cheque | - | 300.00 | 2,000.00 |
| July 29 | To cheque | 200.00 | - | 1,800.00 |
| November 7 | By cash | - | 300.00 | 2,100.00 |
| December 8 | By cash | - | 200.00 | 2,300.00 |
Given the following details, calculate the simple interest at the rate of 6% per annum up to June, 30:
| Date | Debit (in ₹) | Credit (in ₹) | Balance (in ₹) |
| January 1 | - | 24,000·00 | 24,000·00 |
| January 20 | 5,000·00 | - | 19,000·00 |
| January 29 | - | 10,000·00 | 29,000·00 |
| March 15 | - | 8,000·00 | 37,000·00 |
| April 3 | - | 7,653·00 | 44,653·00 |
| May 6 | 3,040·00 | - | 41,613·00 |
| May 8 | - | 5,087·00 | 46,700·00 |
Rajiv Bhardwaj has a recurring deposit account in a bank of Rs 600 per month. If the bank pays simple interest of 7% p.a. and he gets Rs 15450 as maturity amount, find the total time for which the account was held.
